3 years ago

Find (f + g)(x) if f(x) = x2 + 6x + 9 and g(x) = 2x + 6.

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

The answer would be B

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The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

nadezda [96]

Answer:

Step-by-step explanation:

We have volume of cone as

$V=\frac{1}{3} \pi r^2 h$

and for a cone always r/h = constant

Given that r' = rate of change of radius = -7 inches/sec

(Negative sign because decresing)

V' =- 948 in^3/sec

Radius = 99 inches and volume = 525 inches

Height at this instant = $\frac{525}{\frac{1}{3} \pi (99)^2} \\=\frac{0.1607}{\pi}$

Let us differentiate the volume equation with respect to t using product rule

$V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\$

$-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14 + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514$

Rate of change of height = 0.08514 in/sec

8 0

2 years ago

A person is 6 feet tall and his shadow is 10 feet if a trees shadow is 25 feet long how big is the tree

Sidana [21]

Answer:

The tree is 15 feet tall

Step-by-step explanation:

6 feet tall - 10 feet shadow

x feet tall - 25 feet shadow

x=(25*6)/10=15 feet

6 0

3 years ago

Consider the function f(x) = 9^x. Which statement MUST be true? A) f(4)/f(1) = f(8)/f(5) B) f(4)·f(1) = f(8)·f(5) C) f(4) − f(1)

shtirl [24]

Step-by-step explanation:

the true answer is (A)

the right side : 9^4 / 9^1 = 9^3

the left side : 9^8 / 9^5 = 9^3

two side are equal

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2 years ago

Read 2 more answers

Rafael counted a total of 40 white cars and yellow cars there are nine times as many white cars as yellow cars how many white ca

natta225 [31]

The answer probably 16 I don't really know

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2 years ago

Write the number that is five less than ten million.

andrey2020 [161]

Answer:

9,999,995

Step-by-step explanation:

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2 years ago